Locally one-dimensional scheme for a loaded heat equation with Robin boundary conditions

DOI10.1134/S0965542509070094zbMath1224.35163MaRDI QIDQ2995706

M. Kh. Shkhanukov-Lafishev

Publication date: 4 May 2011

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

embedding theoremboundary value problema priori estimatetotal approximationdifference scheme, scheme convergenceloaded heat equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05)

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Finite-difference methods for solving loaded parabolic equations ⋮ Identification of the functions of response to loading for stationary systems ⋮ On the solvability of the Cauchy problem for a certain class of multidimensional loaded parabolic equations ⋮ Numerical method of solution to loaded nonlocal boundary value problems for ordinary differential equations ⋮ Optimization of loading places and load response functions for stationary systems ⋮ The Crank-Nicolson type compact difference schemes for a loaded time-fractional Hallaire equation ⋮ Finite-difference approximation of the inverse Sturm-Liouville problem with frozen argument ⋮ Locally one-dimensional difference schemes for parabolic equations in media possessing memory ⋮ Numerical solution of a boundary value problem for a loaded parabolic equation with nonlocal boundary conditions ⋮ A new numerical method to solve some \(\mathrm{PDE_s}\) in the unit ball and comparison with the finite element and the exact solution ⋮ Nonlinearly loaded boundary value problems for linear ordinary differential equations ⋮ Approach to the numerical solution of optimal control problems for loaded differential equations with nonlocal conditions

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